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Search: id:A000967
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| A000967 |
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Sum of Fermat coefficients.
(Formerly M1148 N0437)
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+0
1
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| 1, 2, 4, 8, 18, 40, 91, 210, 492, 1165, 2786, 6710, 16267, 39650, 97108, 238824, 589521, 1459960, 3626213, 9030450, 22542396, 56393792, 141358274, 354975429, 892893120, 2249412290, 5674891000, 14335757256, 36259245522, 91815545800
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
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Following Piza's definition for the Fermat coefficients: (n:c)=binomial(2n-c, c-1)/c, a(n)= Round( sum_ {c=1..n} (n:c) ) - Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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EXAMPLE
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n...sum_{c=1..n} (n:c).....a(n)
--------------------------------
.1........1.................1
.2........2.................2
.3........4.................4
.4........8+1/3.............8
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MAPLE
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FermatCoeff:=(n, c)->binomial(2*n-c, c-1)/c:seq(round(add(FermatCoeff(n, c), c=1..n)), n=1..40); (Pab Ter)
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CROSSREFS
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Sequence in context: A056362 A086585 A052910 this_sequence A096813 A058387 A019231
Adjacent sequences: A000964 A000965 A000966 this_sequence A000968 A000969 A000970
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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